Physics 195aProblem set number 2Due 2 PM, Thursday, October 17, 2002Notes about course:• Homework should be turned in to the TA’s mail slot on the first floorof East Bridge.• Collaboration policy: OK to work together in small groups, and to helpwith each other’s understanding. Best to first give problems a good tryby yourself. Don’t just copy someone else’s work – whatever you turnin should be what you think you understand.• There is a web page for this course, which should be referred to for themost up-to-date information. The URL:http://www.hep.caltech.edu/˜fcp/ph195/• TA: Anura Abeyesinghe, [email protected]• If you think a problem is completely trivial (and hence a waste of yourtime), you don’t have to do it. Just write “trivial” where your solutionwould go, and you will get credit for it. Of course, this means you arevolunteering to help the rest of the class understand it, if they don’tfind it so simple. . .READING: Finish reading the “Ideas of Quantum Mechanics” course note.Read the “Path Integrals: An Example” course note.PROBLEMS:7. A little handy math:(a) If you have never gone through a proof of the Schwarz inequalitybefore, do it now! Otherwise, you may write “been there, donethat”, and receive credit.(b) Exercise 5 in the “Ideas of Quantum Mechanics” course note.8. Fourier series: Exercise 10 in the “Ideas of Quantum Mechanics” coursenote.39. Tidying up the Ahronov-Bohm discussion: Exercise 1 in the “PathIntegrals: An Example” course note.10. Tidying up the Ahronov-Bohm discussion: Exercise 2 in the “PathIntegrals: An Example” course note.11. [Worth two problems] Extensions to Ahronov-Bohm discussion: Exer-cise 4 in the “Path Integrals: An Example” course note. I hope youfind this problem
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